Understanding the Coding Pattern

This problem involves a type of coding and decoding. We need to identify the specific rule used to transform words like GATE and PANT into their coded forms (FZSD and OZMS, respectively) and then apply this rule to find the code for BANK.

Analyzing the GATE Example

Let's examine the transformation of the word GATE to FZSD:

• The first letter G changes to F. Notice that F is the letter immediately preceding G in the alphabet.
• The second letter A changes to Z. Z is the letter that comes just before A, considering the alphabet wraps around (A comes after Z).
• The third letter T changes to S. S is the letter immediately preceding T.
• The fourth letter E changes to D. D is the letter immediately preceding E.

Based on this example, the rule appears to be: replace each letter with the letter that comes before it in the alphabet.

Confirming the Pattern with PANT

To ensure this rule is correct, let's apply it to the second word, PANT, which is coded as OZMS:

• P becomes O (O precedes P).
• A becomes Z (Z precedes A, with wrap-around).
• N becomes M (M precedes N).
• T becomes S (S precedes T).

The pattern holds true for this example as well. Each letter is consistently replaced by the letter immediately preceding it.

Coding the Word BANK

Now, we can confidently apply this identified rule to the word BANK:

• For the letter B, the preceding letter is A.
• For the letter A, the preceding letter (with wrap-around) is Z.
• For the letter N, the preceding letter is M.
• For the letter K, the preceding letter is J.

Putting these resulting letters together, we find the code for BANK.

Therefore, BANK is coded as AZMJ.